4.03 Find ratios

Complete the following equivalent ratios:

If the following ratios are equivalent to 5:8, find the missing value:

If the following ratios are equivalent to 5:28, find the value of x:

The following pairs of quantities are in proportion. Find the missing value for each pair:

The ratio of kilograms to ounces is 1:2.2. How many ounces are equal to 10\text{ kg}?

The ratio of miles to kilometres is 1:1.6. How many kilometres are equal to 2 miles?

The ratio of ounces to grams is 1:28. How many grams are equal to 4\text{ oz}?

The ratio of pounds to kilograms is 1:2.2. How many kilograms are equal to 20\text{ lbs}?

The ratio of milk to flour in a recipe is 5:3. If we use 6 cups of milk, how much flour is required?

The ratio of choc-chips to cookie dough in a recipe is 2:5. If we use 225 \text{ g} of chocolate chips, how much cookie dough is required?

The ratio of blue to red pigment in a particular colour is 6:7, if 170\text{ mL} of blue pigment is used, how many millilitres of red pigment is required?

The ratio of bikes to helmets is 7:4. If there are 21 bikes, how many helmets are there?

The ratio of cats to dogs is 56:231. If there are 33 dogs, find the number of cats.

The number of students and teachers competing in a charity race is in the ratio 10:3. If 70 students take part in the race, how many teachers are there?

The ratio of men to women at a concert is 15:45. If there are 15 women, how many men are there?

Neville is making perfume to sell. He is using sandalwood and rose oils in the ratio 2: \dfrac{1}{5}. How much sandalwood oil will he need if he wants to use 1 cup of rose oil?

A car and a truck are driving down the highway. Their relative speeds are in the ratio \\ 3.1:2.9. If the car is travelling at 93\text{ km/hr}, how fast is the truck travelling?

Two kinds of pine trees, type A and type B, are planted in rows. In each row the ratio of type A to type B is 9:8. If 180 trees of type A are planted, how many of type B are planted?

At a sporting event, the ratio of security personnel to spectators is 1:180. If 34\,200 spectators attend the event, how many security personnel will be required?

Vanessa competed in a marathon and found that her times for the swimming, cycling and running events were in the ratio 3:1:2. The quickest event took 10 minutes.

To make the perfect shade of green for her painting, Angela knows she needs to mix blue to yellow in the ratio \dfrac{4}{7}:\dfrac{5}{8}. How much yellow paint will she need if she wants to use 4 pots of blue paint?

Charlie is practising for a swimming race. He has to practise in a pool that is \dfrac{1}{20} of a kilometre long. He takes 1 \dfrac{1}{3} minutes to swim the length of the pool. How long will he expect to take to complete his race, which is 3 kilometres?

Ellie is making muffins. Her recipe states that she needs \dfrac{2}{3} cup of sugar, and \dfrac{5}{8} cup of butter.

Connor is practising for a cycling race. He practises by completing laps around his block with each lap being 350 \text{ m} and taking approximately 35 seconds. The total distance of the race is 2.9 kilometres.

Bill is making muffins. His recipe states that he needs 1.25 cups of sugar, and 0.8 cups of butter. He accidentally mixes up the measurements and adds 1.25 cups of butter. How much sugar will he now need to add? Round your answer to two decimal places.

A chemical reaction requires mixing chemical A and chemical B by volume in the ratio \\ 13:17. If 200 \text{ mL} of chemical B is used, how much of chemical A is required? Round your answer to two decimal places.

The ratio of students who play badminton, football and softball is 2:5:9.

Derek is making chocolate chip cookies. He wants a mix of milk chocolate and white chocolate chips in the ratio of \dfrac{7}{15}: \dfrac{4}{5}. He wants to use 28 cups of milk chocolate chips

A painter wants to create a certain colour by mixing two different colours of paint, Vespa and Nitro, in the ratio 6:1. He uses 3 litres of the Nitro colour.

A piece of rope is cut into three lengths in the ratio 6:7:10. If the shortest length is 24 \text{ m}:

Tricia is making a dress that uses two materials. She wants to use the materials in the ratio \dfrac{1}{3}metres of grey for every \dfrac{7}{10} metres of blue. If she knows she needs 1 metre of grey material, how many metres of blue material will she need?

Tricia knows her pet tortoise travels \dfrac{5}{6} metre every \dfrac{2}{7} minutes.

Consider the fact that 5 miles per hour is approximately 8 kilometres per hour:

Consider the fact that 1 pound is equal to approximately 0.45 kilograms:

Maria is making chocolate peanut crunch bars. The recipe calls for \dfrac{1}{3} cups of chocolate chips and \dfrac{3}{4} cups of peanuts. Maria wants to make a large batch using 11 cups of chocolate chips, how many cups of peanuts should she use?

A painter wants to create a certain colour by mixing two different colours of paint, Summer and Ivory, in the ratio 3:7. She uses 1.5 litres of the Summer colour.

Consider the fact that 1 pound is equal to approximately 2.2 kilograms:

Concrete for a foundation is to be made from a mixture of sand, cement and aggregate in the ratio of 1:2:7. A batch uses 3 \text{ kg} of cement.